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Brownian Thermal Noise in Interferometric Gravitational Wave Detectors and Single Photon Optomechanics

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Figure 1.1:The noise curve for aLIGO baseline design
Figure 2.1:Schematic plot of a mirror coated with multiple dielectric layers. Shown here are theindices [stretch (various fluctuations that contribute to coating noise, i.e., fluctuations in the amplitude and phaseof the returning light caused by fluctuations in the geometry (e.g., layer thickness δlj, layer areaδA/A)j and interface height zs) of the coating-substrate configuration and in refractiveδnj(x, y, z)] of the layers.
Figure 2.2: Illustrations of forces applied onto various interfaces within the coating
Figure 2.3:Illustration of the correlations between coating thickness δlj and the height of thecoating-substrate interface, zs.On the left, for a bulk deformation: when a coating element isexpanding, its expansion along the x-y plane lifts the coating-substrate interface upwards, causingadditional motion of the coating-air interface correlated to that caused by the increase in coatingthickness.On the right, a a particular shear mode: when a coating element is expanding, itscontraction along the x-y plan pushes the coating-substrate interface downwards, causing additionmotion of the coating-air interface anticorrelated to that caused by the increase in coating thickness.
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Conclusions Application of Degenerate Perturbation Theory to the Perturbed Fabry-Perot Contrast Defect Improvement Appendix: Contrast Defect Evolution of the Photon-mirror Quantum State Practical Considerations

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